Superconductivity on a quasiperiodic lattice: Extended-to-localized crossover of Cooper pairs

Shiro Sakai, Nayuta Takemori, Akihisa Koga, Ryotaro Arita

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Abstract

We study a possible superconductivity in quasiperiodic systems by portraying the issue within the attractive Hubbard model on a Penrose lattice. Applying a real-space dynamical mean-field theory to the model consisting of 4181 sites, we find a superconducting phase at low temperatures. Reflecting the nonperiodicity of the Penrose lattice, the superconducting state exhibits an inhomogeneity. According to the type of the inhomogeneity, the superconducting phase is categorized into three different regions which cross over each other. Among them, the weak-coupling region exhibits spatially extended Cooper pairs, which are nevertheless distinct from the conventional pairing of two electrons with opposite momenta.

Original languageEnglish
Article number024509
JournalPhysical Review B
Volume95
Issue number2
DOIs
Publication statusPublished - Jan 18 2017
Externally publishedYes

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ASJC Scopus subject areas

  • Condensed Matter Physics

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